物理化学实验数据处理过程中拟合函数问题的探讨

Exploration on Fitting Function in Data Processing of Physical Chemistry Experiments

本文以最大泡压法测定溶液的表面张力实验为例,选取3种不同的拟合函数对实验数据进行后续处理.数据处理结果表明采用不同的拟合函数所得的实验结果差异相对较大,而对数拟合[γ=f(lnc)]所得的数据得到的c/Γ-c线性关系最好,R^2=1.因此,采用对数拟合能高效精确模拟数据,并有效减小数据处理所带来的实验误差.

According to the examples of maximal bubble pressure method for surface tension of solution in physical chemistry experiments, the different fitting functions were selected to process the experimental data. The results of data processing showed that the experimental results obtained by different fitting functions were relatively different. Among of the investigated fitting functions, the data fitted by logarithmic function [γ= f (ln c )] gave the best linear relationships between c /Γ and c . The degree of freedom adjusted R-square was 1. Thereby, it could simulate data efficiently and accurately, and then reduce the experimental error caused by data processing effectively.